基于互补判断矩阵的专家群体判断一致性分析

针对群决策中基于互补判断矩阵形式偏好信息的专家群体判断一致性问题,给出了一种分析方法·首先给出了有关互补判断矩阵的定义及若干性质;然后,通过定义有关专家群体判断的一致性指标及专家个体判断一致性指标,给出了群决策中基于互补判断矩阵形式偏好信息的专家群体判断一致性的识别方法和不一致的调整方法·同时,依据专家个体判断一致性指标,还可以判别每个专家的评判水平·最后,通过一个算例说明给出的分析方法·

Consistency Analysis of Expert Group's Judgement Based on Reciprocal Judgement Matrices

With respect to the consistency problem of expert group's judgement based on the reciprocal judgement matrix in terms of preferential information form, an analytic method is proposed. Introducing some definitions and characteristics of reciprocal judgement matrix, the consistency index of expert group's judgement and that of each expert's judgement are given. Then, the way to recognize the expert group's consistency, and adjust the inconsistency among the group because of different preference is expounded. According the consistency index of each expert's judgement, the level of an expert's judgement can be recognized. A numerical example is given to illustrate the use of the analytic method proposed.